Loaf:1 cup of white sugar½ cup of butter, softened2 eggs1 lemon, juice and zest1 and 1/2 cups of all-purpose flour1 teaspoon of baking powder1/4 teaspoon of salt1/2 cup of milk1/2 cup of grated coconutDrizzle:3/4 cup of confectioners sugar2 teaspoons of lemon juice, or more as needed